Hydrostatics - force on pistons in fluid

AI Thread Summary
The discussion revolves around calculating the increment in pressure at the center of a cubical container filled with liquid when a force F is applied to pistons covering holes on its sides. The key insight is that an increase in pressure of F/A at the center results in an equal pressure increase in all directions, which balances the force exerted by the pistons. The solution confirms that the pressure increment is indeed F/A, aligning with fundamental hydrostatic principles. Participants emphasize understanding the relationship between force, area, and pressure in fluid dynamics. Overall, the discussion clarifies the mechanics of pressure changes in a fluid system under external forces.
Mandeep Deka
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Homework Statement


Assume a cubical container with liquid filled in it and with one hole in each side in its four lateral faces with same cross-sectional area A. Now there are pistons covering these holes which keep the fluid inside it in equilibrium. If there is an increment of force F on each piston, what is the increment in the pressure at the center of the container?


Homework Equations





The Attempt at a Solution



I am not getting any way to get out with this problem, the answer is F/A but i am not able to figure out anything that i can really use to find the answer.
Please provide some clue, as to how do i get out of it!
 
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Hi Mandeep! :smile:

Look at it the other way round …

how much would you have to increase the pressure inside the cylinder to make each piston exert an extra force F on something outside? :wink:
 


Thanks a lot...
I got it. If there is an increase of pressure of magnitude F/A in the center of the liquid, an equal pressure F/A will be exerted in all the directions which will balance the increase in the pressure in the pistons!
 

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